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Finding the Fourth Proportional to 9,493.57, 14,240.40 and 6,227.35

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Solution

The fourth proportional to 9,493.57, 14,240.40 and 6,227.35 is: 9,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.57 : 14,240.40 = 6,227.35 : x
  2. Step 2: Convert to fraction form
    9,493.57/14,240.40 = 6,227.35/x
  3. Step 3: Cross multiply
    9,493.57x = 14,240.40 × 6,227.35
  4. Step 4: Simplify right side
    9,493.57x = 88,679,954.94
  5. Step 5: Solve for x
    x = 88,679,954.94/9,493.57
  6. Step 6: Final answer
    x = 9,341.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.